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Finding the Third Proportional to 1,282,216.50 and 1,993,263.75

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Solution

The third proportional to 1,282,216.50 and 1,993,263.75 is: 3,098,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,216.50 : 1,993,263.75 = 1,993,263.75 : x
  2. Step 2: Convert to fraction form
    1,282,216.50/1,993,263.75 = 1,993,263.75/x
  3. Step 3: Cross multiply
    1,282,216.50x = 1,993,263.75 × 1,993,263.75
  4. Step 4: Simplify right side
    1,282,216.50x = 3,973,100,377,064.06
  5. Step 5: Solve for x
    x = 3,973,100,377,064.06/1,282,216.50
  6. Step 6: Final answer
    x = 3,098,618.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.